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Finding the Third Proportional to 35,014.78 and 84,138.75

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Solution

The third proportional to 35,014.78 and 84,138.75 is: 202,181.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,014.78 : 84,138.75 = 84,138.75 : x
  2. Step 2: Convert to fraction form
    35,014.78/84,138.75 = 84,138.75/x
  3. Step 3: Cross multiply
    35,014.78x = 84,138.75 × 84,138.75
  4. Step 4: Simplify right side
    35,014.78x = 7,079,329,251.56
  5. Step 5: Solve for x
    x = 7,079,329,251.56/35,014.78
  6. Step 6: Final answer
    x = 202,181.16

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.